Let's assume there are a total of 100 cars in the used-car lot.
Out of the 100 cars, 2/5 are gray.
So, there are (2/5) x 100 = <<(2/5)*100=40>>40 gray cars in the lot.
Out of the 40 gray cars, 1/3 are electrically powered.
So, there are (1/3) x 40 = <<(1/3)*40=13.33>>13.33 electrically powered gray cars in the lot.
As the number of cars cannot be a decimal, we know that there are 13 electrically powered gray cars in the lot.
Therefore, the fraction of the cars on the lot that are both gray and electrically powered is 13/100.
So, the answer is 13/100.
Of the cars in a used-car lot, 2/5 are the color gray. 1/3 of the gray cars are electrically powered vehicles. What fraction of the cars on the lot are both gray and electrically powered? Leave your answer in simplified fraction form.
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